3 votes 3 votes Let the linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{3}$ be defined by $T\left(x_{1}, x_{2}\right)=\left(x_{1}, x_{1}+x_{2}, x_{2}\right)$. Then the nullity of $T$ is: 0 1 2 3 Linear Algebra goclasses2025_da_wq1 linear-algebra rank-of-matrix 1-mark + – GO Classes asked Apr 11 GO Classes answer comment Share Follow See all 0 reply Please log in or register to add a comment.
3 votes 3 votes This is a 3*2 Matrix and after putting (1,0,0) and (0,1,0) we will get two linearly independent vectors in 3*2 Matrix so rank will be 2 and therefore nullity will be 2-2=0 Dhananjaykumar4u answered Apr 12 Dhananjaykumar4u comment Share Follow See all 0 reply Please log in or register to add a comment.